Results 31 to 40 of about 1,776,451 (338)

Axiomatic Characterizations of Information Measures

Entropy, 2008
Axiomatic characterizations of Shannon entropy, Kullback I-divergence, and some generalized information measures are surveyed. Three directions are treated: (A) Characterization of functions of probability distributions suitable as information measures. (
Imre Csiszár
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Numerical Calculations to Grasp a Mathematical Issue Such as the Riemann Hypothesis

Information, 2020
This article presents the use of data processing to apprehend mathematical questions such as the Riemann Hypothesis (RH) by numerical calculation. Calculations are performed alongside graphs of the argument of the complex numbers ζ ( x + i y ...
Michel Riguidel
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Dynamics of the Universal Confining String Theory on the Loop Space [PDF]

, 1997
Starting with the representation of the Wilson average in the Euclidean 4D compact QED as a partition function of the Universal Confining String Theory, we derive for it the corresponding loop equation, alternative to the familiar one.
Antonov, D. V.
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A Functional Equation in Arithmetic [PDF]

Transactions of the American Mathematical Society, 1936
which occurs in all theories of numerical functions hitherto considered. The two most highly developed theories of this kind are those in which multiplication in the ring of all numerical functions is abstractly identical with C (Cauchy) or D (Dirichlet) multiplication of infinite series.t Lehmer's five postulates are sufficient for the development of ...
openaire   +2 more sources

On the Notion of Reproducibility and Its Full Implementation to Natural Exponential Families

Mathematics, 2021
Let F=Fθ:θ∈Θ⊂R be a family of probability distributions indexed by a parameter θ and let X1,⋯,Xn be i.i.d. r.v.’s with L(X1)=Fθ∈F. Then, F is said to be reproducible if for all θ∈Θ and n∈N, there exists a sequence (αn)n≥1 and a mapping gn:Θ→Θ,θ⟼gn(θ ...
Shaul K. Bar-Lev
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The Functional Equation and Beyond Endoscopy

, 2012
In his paper "Beyond Endoscopy," Langlands tries to understand functoriality via poles of L-functions. The following paper further investigates the analytic continuation of a L-function associated to a $GL_2$ automorphic form through the trace formula ...
Herman, P. Edward
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Some Best Proximity Theorems for Generalized Proximal $\mathcal{Z}$-Contraction Maps in $b$-Metric Spaces with Applications [PDF]

Sahand Communications in Mathematical Analysis
The simulation function and the notion of $\mathcal{Z}$-contraction concerning $\zeta$ which generalizes the Banach contraction principle and unifies several known types of contractions involving the combination of $d(fx, fy)$ and $d(x, y)$.
Dasari Ratna Babu
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On a Functional-Equation of A. Hurwitz

Advances in Mathematics, 1995
The paper deals with the equation \((*)\) \(G'(z) = 2 \pi ie^{2 \pi iz} G(z + 1)\) and its adjoint equation \(F'(z) = - 2 \pi ie^{2 \pi iz} F(z - 1)\) in the complex domain. It is shown that \(G_ 0(z) = \int e^{-2 \pi iuz + \pi iu^ 2} \Gamma (u) du\) and \(F_ 0(z) = \int e^{2 \pi izu - \pi iu^ 2} \Gamma^{-1} (1 + u) du\) with integration over suitable ...
Berenstein, C.A., Sebbar, A.
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Chains of fundamental mutually homogeneous functions with a common real eigenvalue

St. Petersburg Polytechnical University Journal: Physics and Mathematics, 2020
This work continues the study of the properties of mutually homogeneous functions, which are a generalization of Euler homogeneous functions and can be used in the synthesis of electric and magnetic fields of electron and ion-optical systems with special
Berdnikov Alexander, Solovyev Konstantin, Krasnova Nadezhda   +2 more
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A Linear Evolution for Non-Linear Dynamics and Correlations in Realistic Nuclei

, 2003
A new approach to high energy evolution based on a linear equation for QCD generating functional is developed. This approach opens a possibility for systematic study of correlations inside targets, and, in particular, inside realistic nuclei.
Adcox, Adcox, Adler, Adler, Adloff, Adloff, Ayala, Ayala, Ayala, Back, Back, Back, Back, Back, Balitsky, Balitsky, Balitsky, Bartels, Bartels, Bartels, Bartels, Bartels, Bazilevsky, Bearden, Bearden, Breitweg, Breitweg, Chekanov, Collins, Dunlop, E. Levin, Eskola, Ewerz, Golec-Biernat, Golec-Biernat, Golec-Biernat, Golec-Biernat, Gotsman, Gotsman, Gotsman, Gribov, Iancu, Jalilian-Marian, Jalilian-Marian, Jalilian-Marian, Jalilian-Marian, Kharzeev, Kharzeev, Kharzeev, Kharzeev, Kovchegov, Kovchegov, Kovchegov, Kovchegov, Kovchegov, Kovner, Kowalski, Kuraev, Kwiecinski, Laenen, Levin, Levin, Levin, Lipatov, M. Lublinsky, McLerran, McLerran, McLerran, McLerran, McLerran, Milov, Mioduszewski, Mueller, Mueller, Mueller, Mueller, Mueller, Mueller, Munier, Munier, Sakaguci, Schwimmer, Stasto, Weigert, Xu   +84 more
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